Choose two statements that are true for this expression.
1 answer:
Answer:
Options (A) and (D).
Step-by-step explanation:
Given expression is,
4x³ - 7x² - + 15
Characteristics of the give expression ,
Option (A).
Third term of the expression is in the form a ratio.
True.
Option (B).
Entire expression is a difference.
False.
Option (C).
There are three terms.
False.
Option (D).
There are four terms in the given expression.
True.
Therefore, Options (A) and (D) will be the correct options.
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Assuming you know the quadratic formula:
You can fill in a, b and c in this and get:
Now, let's create a shorthand to make the writing easier:
But since one root is three times the other root (but we don't know which one), we also know that:
or
If you solve this, you get:
or
However, since q is a square root, it must be postive.
So we know that:
From this you find that
So p = 3/2
The roots are x=1/2 and x=3/2.